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Critical Current Density in Multifilamentary Composites

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Advances in Cryogenic Engineering

Part of the book series: Advances in Cryogenic Engineering ((ACRE,volume 24))

Abstract

The maximum current that can be carried by a superconductor and the hysteretic losses have been traditionally related to critical current and critical current density.

Work supported by La Délégation Générale à la Recherche Scientifique et Technique (DGRST).

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Abbreviations

A S :

superconducting cross-sectional area

B :

magnetic induction

B:

mean value of magnetic induction

b :

specific value of magnetic induction

b:

unit vector parallel to B

E :

electrical field in the superconductor

e ikl :

antisymmetrical unitary tensor

E 0 :

critical parameter that depends on the properties of the composites and magnetic induction

F ƒ :

force density for free effects

F p :

pinning force density

I :

current in the composite

I 0 :

critical current

J:

current density

r :

radius of the surface, S

R ƒ :

radius of filament location

S :

cylindrical surface generated by magnetic field lines

T :

the superconducting material/matrix cross-section ratio on curve μ

α:

Kim’s law parameter

Λ, λ:

critical parameters that depend on the properties of the composite and magnetic induction

μ:

a curve, the intersection of surface S with planes perpendicular to the axis of the composite

σ:

conductivity

ϕ:

the angle between the filament and the axis of the composite

ax :

axial

c :

critical value

i, k, l :

indices

m :

measured

0:

initial or critical value

tr:

transverse

ye :

orthogonal

θ:

azimuthal

References

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Author information

Authors and Affiliations

  1. Centre de Recherches de la Compagnie Générale d’Electricité, Marcoussis, France

    A. Février & J. C. Renard

Authors
  1. A. Février
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  2. J. C. Renard
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Editor information

Editors and Affiliations

  1. Engineering Research Center, University of Colorado, Boulder, Colorado, USA

    K. D. Timmerhaus

  2. NBS Institute for Basic Standards, Boulder, Colorado, USA

    R. P. Reed  & A. F. Clark  & 

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© 1978 Springer Science+Business Media New York

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Février, A., Renard, J.C. (1978). Critical Current Density in Multifilamentary Composites. In: Timmerhaus, K.D., Reed, R.P., Clark, A.F. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9853-0_40

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  • DOI: https://doi.org/10.1007/978-1-4613-9853-0_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-9855-4

  • Online ISBN: 978-1-4613-9853-0

  • eBook Packages: Springer Book Archive

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